Limit horizontal displacement of masonry arch on spreading supports
DOI:
https://doi.org/10.3989/ic.82665Keywords:
Limit displacement, masonry arches, collapse mechanism, spreading supportsAbstract
The safety of masonry arches is heavily related to possible displacements that may occur at supports. These movements can be outwards or inwards, with a consequent, respectively, increase or decrease of the horizontal thrust. This process may strongly reduce the safety of a masonry structure, and even lead to its collapse. Despite the importance of this phenomenon, the bibliography is scarce and mainly focused on arches with circular shapes. This paper presents the development of a tool to estimate the outward horizontal support movements necessary to cause collapse for masonry arches of any shape considering, if needed, the existence of a backfill. Next, this work illustrates a parametric analysis to study the effect of support displacements on masonry arches with different shapes and several thickness/span ratios. This results in the construction of very useful plots for the professional practice. Finally, the methodology is applied to a real case of study.
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(1) Ochsendorf, J. (2002). Collapse of masonry structures (Tesis Doctoral). University of Cambridge. Recuperado de http://www.repository.cam.ac.uk/handle/1810/244820.
(2) Heyman, J. (1966). The stone skeleton. International Journal of Solid and Structures, 2(2): 249-279. https://doi.org/10.1016/0020-7683(66)90018-7
(3) Huerta Fernández S. (2004). Arcos, bóvedas y cúpulas: geometría y equilibrio en el cálculo tradicional de estructuras de fábrica. Madrid: Instituto Juan de Herrera.
(4) Todisco, L., León, J. (2017). Criterios de análisis y comprobación de estructuras de fábrica. En: J.M. Goicolea, J. León (Eds.), Los Puentes Piedra (o Ladrillo) Antaño y Hogaño (pp. 158-168). Madrid: Fundación Juanelo Turriano.
(5) Martínez Martínez, J.L. (2003). Determinación teórica y experimental de diagramas de interacción de esfuerzos en estructuras de fábrica y aplicación al análisis de construcciones históricas (Tesis doctoral). Universidad Politécnica de Madrid.
(6) Mann, W., Muller, H. (1982). Failure of shear-stressed masonry - An enlarged theory, tests and application to shear-walls, Proceedings of the British Ceramic Society. 30(1): 233-235.
(7) Coccia, S., Di Carlo, F., Rinaldi Z. (2015). Collapse displacements for a mechanism of spreading-induced supports in a masonry arch. International Journal of Advanced Structural Engineering, 3(7): 307-320. https://doi.org/10.1007/s40091-015-0101-x
(8) Di Carlo, F., Coccia, S., Rinaldi, Z. (2018). Collapse load of a masonry arch after actual displacements of the supports. Archive of Applied Mechanics, 88, 1545-1558. https://link.springer.com/10.1007/s00419-018-1386-6. https://doi.org/10.1007/s00419-018-1386-6
(9) Di Carlo, F., Coccia, S. (2020). Collapse state of elliptical masonry arches after finite displacements of the supports. Engineering Failure Analysis. 114, 104593. https://doi.org/10.1016/j.engfailanal.2020.104593
(10) Galassi, S., Misseri, G., Rovero, L., Tempesta, G. (2020). Analysis of masonry pointed arches on moving supports: A numeric predictive model and experimental evaluations. En: Lecture Notes in Mechanical Engineering (pp. 2048-2068). Netherlands: Springer. https://link.springer.com/10.1007/978-3-030-41057-5_163. https://doi.org/10.1007/978-3-030-41057-5_163
(11) Zampieri, P., Amoroso, M., Pellegrino, C. (2019). The masonry buttressed arch on spreading support. Structures, 20, 226-236. https://doi.org/10.1016/j.istruc.2019.03.008
(12) Intrigila, C., Nodargi, N.A., Bisegna, P. (2019). Square Cross Vaults on Spreading Supports. En: RILEM Bookseries (pp. 1045-1053). Netherlands: Springer. https://link.springer.com/10.1007/978-3-319-99441-3_113. https://doi.org/10.1007/978-3-319-99441-3_113
(13) Galassi, S., Misseri, G., Rovero, L., Tempesta, G. (2018). Failure modes prediction of masonry voussoir arches on moving supports. Engineering Structures. 173, 706-717. https://doi.org/10.1016/j.engstruct.2018.07.015. https://doi.org/10.1016/j.engstruct.2018.07.015
(14) Zampieri, P., Faleschini, F. Zanini, M.A., Simoncello, N. (2018). Collapse mechanisms of masonry arches with settled springing. Engineering Structures, 156, 363-374. https://doi.org/10.1016/j.engstruct.2017.11.048.
(15) Barba, J. (2018). Vertical Limit Displacements of Masonry Structures (TFM). Universidad Politécnica de Madrid.
(16) Masciotta, M.G., Brigante, D., Barontini, A., Pellegrini, D., Lourenço, P.B., Fabbrocino, G., Padovani, C., Girardi, M. (2020) Experimental and Numerical Investigations of a Segmental Masonry Arch Subjected to Horizontal Settlements. En: Proceedings of ARCH 2019 (pp. 413-421). https://doi.org/10.1007/978-3-030-29227-0_43
(17) Acikgoz, S., Soga, K. , Woodhams, J. (2017). Evaluation of the response of a vaulted masonry structure to differential settlements using point cloud data and limit analyses. Construction and Building Materials, 150, 916-931. https://doi.org/10.1016/j.conbuildmat.2017.05.075
(18) Mutiloa Albizuri L. (2018). Desplazamientos límite en estructuras de fábrica: aproximación teórica y desarrollo de una herramienta (Trabajo Fin de Máster). Universidad Politécnica de Madrid. Recuperado de http://oa.upm.es/52446/.
(19) Ramos, A. (2015). Caracterización estructural de los rellenos situados en el trasdós de bóvedas de edificios históricos (Tesis Doctoral). Universidad Politécnica de Madrid. Recuperado de http://oa.upm.es/38758/
(20) McNeel, R. (2020). Grasshopper generative modeling for Rhino. Computer software. http://www.grasshopper3d.com/.
(21) McNeel, R. (2020). Rhinoceros NURBS modeling for Windows. Computer software. http://www.rhino3d.com/.
(22) Autodesk (2020). AutoCad. https://www.autodesk.es/products/autocad/.
(23) Ramos, A., León, J. (2013). Clasificación morfológica de los rellenos en el trasdós de bóvedas de fábrica, Informes de la Construcción. 65(532), 471-480. https://doi.org/10.3989/ic.12.062
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